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Finding the Fourth Proportional to 815.08, 1,222.74 and 565.96

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Solution

The fourth proportional to 815.08, 1,222.74 and 565.96 is: 849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.08 : 1,222.74 = 565.96 : x
  2. Step 2: Convert to fraction form
    815.08/1,222.74 = 565.96/x
  3. Step 3: Cross multiply
    815.08x = 1,222.74 × 565.96
  4. Step 4: Simplify right side
    815.08x = 692,021.93
  5. Step 5: Solve for x
    x = 692,021.93/815.08
  6. Step 6: Final answer
    x = 849.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.